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Finding the Fourth Proportional to 748.46, 1,032.71 and 453.80

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Solution

The fourth proportional to 748.46, 1,032.71 and 453.80 is: 626.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.46 : 1,032.71 = 453.80 : x
  2. Step 2: Convert to fraction form
    748.46/1,032.71 = 453.80/x
  3. Step 3: Cross multiply
    748.46x = 1,032.71 × 453.80
  4. Step 4: Simplify right side
    748.46x = 468,636.37
  5. Step 5: Solve for x
    x = 468,636.37/748.46
  6. Step 6: Final answer
    x = 626.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.